This course is designed to prepare a student to take AP Calculus as a senior in high school or Calculus as a freshman in college.
The course expands upon the Algebra 2 Honors concepts of families of functions. We revisit the topics with new emphasis placed on transformations in the plane, solutions of functions, domain and range, asymptotes, extrema, and inverse functions. The families of functions we focus on are linear, absolute value, polynomial, radical, and rational, exponential, logarithmic, and trigonometric.
Trigonometry is studied extensively second semester. The unit circle is introduced and students learn how to graph the sine, cosine, tangent, secant, cosecant, and cotangent functions using transformations. Students learn about a variety of trigonometric identities and techniques to solve basic and advanced trigonometric equations.
Students will view a problem and its solution from four perspectives: algebraically, numerically, graphically, and verbally as is emphasized in AP Calculus.